Thermal instability of Rivlin-Ericksen elasto-viscous rotating fluid permeating with suspended particles under variable gravity field in porous medium

• Autorzy: Rana G. C. , Kumar S.
• Języki publikacji: EN

Abstrakty

EN

The problem of thermal instability of the Rivlin-Ericksen elasto-viscous fluid in a porous medium is considered in the presence of uniform rotation, suspended particles and variable gravity field. The rotation, gravity field, suspended particles and viscoelasticity introduce oscillatory modes. It is found that the principle of the exchange of stabilities is valid, provided that some condition is fulfilled. In a stationary convection, suspended particles are found to have destabilizing effect on the system, while rotation has stabilizing effect on the system under certain conditions. The effect of rotation, suspended particles, and medium permeability have also been shown graphically.

Słowa kluczowe

PL

płyny lepkosprężyste; ośrodek porowaty; niestabilność termiczna

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2010
• Tom: Vol. 32, nr 4
• Strony: 39--54
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Rana G. C.

autor

Kumar S.

• Department of Mathematics, Govt. P. G. College, Hamirpur-177005, Himachal Pradesh, India

Bibliografia

• [1]CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover Publications, New York, 1981.
• [2]LAPWOOD E.R., Convection of a fluid in a porous medium, Proc. Camb. Phil. Soc., 1948, 44, 508.
• [3]WOODING R.A., Rayleigh instability of a thermal boundary layer in flow through a porous medium, J. Fluid Mech., 1960, 9, 183.
• [4]SHARMA R.C., KUMAR P., Thermal instability of an Oldroydian viscoelastic fluid in porous medium, Engng. Trans, Poland, 1996, 14, 99.
• [5]RIVLIN R.S., ERICKSEN J.L., Stress–deformation relations for isotropic material, J. Rational Mech. Anal., 1955, 4, 323.
• [6]STOMMEL H., FEDOROR K.N., Small scale structure in temperature and salinity near Timor and Mindanao, Tellus, 1967, 19, 306.
• [7]LINDEN P.F., Salt fingers in a steady shear flow, Geophys. Fluid Dynamics, 1974, 6, 1.
• [8]LISTER C.R.B., On the thermal balance of a midocean ridge, Geophys. J. Roy. Astr. Soc., 1972, 26, 515.
• [9]McDONNEL J.A.M., Cosmic Dust, John Wiley and Sons, Toronto, 1978.
• [10]PRADHAN G.K., SAMAL P.C., Thermal instability of fluid layer under variable body forces, J. Math. Anal. Appl., 1987, 122, 487.
• [11]SHARMA V., RANA G.C., Thermal instability of a Walters′ (Model B′) elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium, J. Non-Equilib. Thermodyn., 2001, 26, 31.
• [12]SHARMA V., RANA G.C., The instability of Rivlin–Ericksen fluid in porous medium in hydrodynamics, J. Indian Acad. Math., 1999, 21 (2), 121.
• [13]SHARMA V., RANA G.C., Thermasolutal instability of Rivlin–Ericksen rotating fluid in the presence of magnetic field and variable gravity field in porous medium, Proc. Nat., Acad., Sci., India, 2003, 73 A (1), 93.